There's something inherently natural about the desire to make rhythm. Leave a conga drum out in the open, and it's guaranteed to get bopped a bit by random folks passing by. We may not all have perfect timing, but thumping hands in a percussive manner comes as natural as whistling or toe-tapping to pretty much everyone.
In that sense, the real surprise isn't so much the recent rise and fall of music video games, but rather that they haven't had more of a longstanding presence alongside other classic genres. We've pretty much always seen some variant; sound and pattern recognition (endless runners like Temple Run), instrument training (Miracle Piano, Rocksmith), exercise and dancing (Dance Dance Revolution, Pump It Up), abstract music integration and layering (Frequency, Amplitude, Rock Band Blitz) and of course, the playful guitar/band sims (Rock Band, Guitar Hero).